Abstract.
We prove that for a class of massless ∇φ interface models on ℤ2, introduction of an arbitrarily small pinning self-potential leads to exponential decay of correlation, or, in other words, to creation of mass.
Article PDF
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 23 November 1998 / Revised version: 14 June 1999
Rights and permissions
About this article
Cite this article
Ioffe, D., Velenik, Y. A note on the decay of correlations under δ-pinning. Probab Theory Relat Fields 116, 379–389 (2000). https://doi.org/10.1007/s004400050254
Issue Date:
DOI: https://doi.org/10.1007/s004400050254